There are many different kinds of quadrilaterals, yet all have several things in common: all of them have 4 sides, room coplanar, have actually two diagonals, and the sum of their 4 interior angles equates to 360 degrees. This is how they space alike, but what makes them different?

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We know numerous quadrilaterals by their distinct shapes and also properties, choose squares. Remember, if friend see the word quadrilateral, the does not necessarily mean a number with special properties favor a square or rectangle! In word problems, be cautious not come assume the a quadrilateral has actually parallel sides or same sides unless that is stated.

You are watching: Is a square a parallelogram yes or no

Special Quadrilaterals


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A parallelogram has actually two parallel bag of opposite sides.

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A rectangle has actually two bag of opposite sides parallel, and four ideal angles. It is likewise a parallelogram, because it has two pairs of parallel sides.

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A square has actually two bag of parallel sides, four right angles, and all four sides room equal. It is likewise a rectangle and a parallelogram.

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A rhombus is identified as a parallel with 4 equal sides. Is a rhombus always a rectangle? No, since a rhombus go not have to have 4 best angles.
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Trapezoids only have actually one pair of parallel sides. It"s a form of quadrilateral the is no a parallelogram. (British name: Trapezium)

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Kites have 2 pairs of surrounding sides that room equal.

We have the right to use a Venn diagram to aid us team the varieties of quadrilaterals.

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A Venn diagram provides overlapping one to show relationships between groups of objects. Every "quadrilaterals" can be separated right into three sub-groups: basic quadrilaterals, parallelograms and trapezoids.

Is a rectangle constantly a rhombus? No, since all four sides of a rectangle don"t have to be equal. However, the sets of rectangles and rhombuses do intersect, and also their intersection is the set of squares—all squares space both a rectangle and a rhombus.

We deserve to put squares in the intersection of the two circles.

From this diagram, you deserve to see the a square is a quadrilateral, a parallelogram, a rectangle, and also a rhombus!

Is a trapezoid a parallelogram? No, since a trapezoid has actually only one pair that parallel sides. That is why us must present the collection of trapezoids in a separate circle on the Venn diagram.

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What around kites? Kites room quadrilaterals that can it is in parallelograms. If their 2 pairs the sides room equal, it becomes a rhombus, and if their angles room equal, it becomes a square.

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